Dynamic Stability Analysis of a Beam Excited by a Sequence of Moving Mass Particles
محورهای موضوعی : فصلنامه شبیه سازی و تحلیل تکنولوژی های نوین در مهندسی مکانیک
1 - 1- استادیار دانشکده مهندسی مکانیک، دانشگاه آزاد اسلامی، واحد خمینی شهر
کلید واژه: Dynamic stability, Beam-moving mass, Incremental harmonic balance method, Floquet's theory,
چکیده مقاله :
In this paper, the dynamic stability analysis of a simply supported beam carrying a sequence of moving masses is investigated. Many applications such as motion of vehicles or trains on bridges, cranes transporting loads along their span, fluid transfer pipe systems and the barrel of different weapons can be represented as a flexible beam carrying moving masses. The periodical traverse of masses over the beam results a linear time periodic problem. Floquet theory and Incremental Harmonic Balance (IHB) method are used to obtain the boundary of stable and unstable regions in the plane of moving mass parameters. Results of IHB method do verify the boundary curve separating the stable and unstable regions generated by Floquet theory. Also the result of numerical simulations confirms the result of the applied semi-analytical methods.
در این مقاله تحلیل پایداری دینامیکی تیری با تکیهگاه ساده که تحت عبور متوالی جرمها قرار گرفته است بررسی میشود. چنین شرایط بارگذاری روی تیر در تحلیل مسائلی از قبیل حرکت وسائل نقلیه و قطارها از روی پلها، جراثقیلهای حمل بار، لولهلههای حاوی سیال، لولهی انواع اسلحهها حایز اهمیت است. بر اثر عبور مداوم و پریودیک جرمها از روی تیر، یک مسألهی خطی پریودیک حاصل میشود. تئوری فلاکه و روش هارمونیک بالانس نموی برای به دست آوردن مرز پایدار و ناپایدار مسأله بر حسب پارامترهای جرمهای عبوری مورد استفاده قرار میگیرند. منحنی مشخص کنندهی نواحی پایدار و ناپایدار حاصل شده با استفاده از بکارگیری این دو روش به خوبی با یکدیگر مطابقت داشته و شبیهسازیهای عددی برای مقادیر عددی پارامترهای انتخابی جرم متحرک، صحت و دقت روشهای مذکور را تأیید میکند.
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